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Finding the Fourth Proportional to 537.72, 804.15 and 435.66

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Solution

The fourth proportional to 537.72, 804.15 and 435.66 is: 651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.72 : 804.15 = 435.66 : x
  2. Step 2: Convert to fraction form
    537.72/804.15 = 435.66/x
  3. Step 3: Cross multiply
    537.72x = 804.15 × 435.66
  4. Step 4: Simplify right side
    537.72x = 350,335.99
  5. Step 5: Solve for x
    x = 350,335.99/537.72
  6. Step 6: Final answer
    x = 651.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.